Three Dimensional Geometry Question 293

Question: If $ 4x+4y-kz=0 $ is the equation of the plane through the origin that contains the line $ \frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4}, $ then k =

[MP PET 1992]

Options:

A) 1

B) 3

C) 5

D) 7

Show Answer

Answer:

Correct Answer: C

Solution:

Obviously, $ 4,(2)+4,(3)-k,(4)=0\Rightarrow k=5 $ .